A Theory to Refute the Riemann Hypothesis

This paper introduces a new theory regarding the distribution of the zeros of the Riemann zeta function on the critical line, challenging the current assumptions about the structure of the zeta function. The classical approach, which incorporates both prime and non-prime numbers into the calculations, obscures the actual zeros and results in computations that approach but never reach the true zeros. By isolating the prime numbers, it becomes apparent that the imaginary part of the zeros on the critical line is directly correlated with the primes. The higher the prime, the greater the distance between the zeros. This discovery reveals a pattern that contradicts previous assumptions about the distribution of the zeros in the zeta function.

本文提出了一套关于黎曼ζ函数（Riemann zeta function）在临界线上零点分布的全新理论，对当前学界有关该函数结构的主流假设提出了挑战。传统研究范式将素数与非素数同时纳入计算流程，这一做法会掩盖真实的零点分布特征，最终得到的计算结果仅能无限逼近却永远无法触及真正的零点。通过单独分离素数进行分析，可清晰观察到临界线上零点的虚部与素数存在直接关联：素数的数值越大，对应零点之间的间距也就越大。这一发现揭示了一种与此前学界关于ζ函数零点分布的认知相悖的全新规律。